Question
The cost price of 18 headsets equals the selling price
of 12 headsets. The ratio of the cost price of a headset to a mobile cover is 5:3. The combined selling price of 8 headsets and 12 mobile covers is Rs.2100. Each mobile cover is sold at a 25% profit. Find the cost price of one headset.Solution
Let CP and SP of one headset be a and b. 18a = 12b → a/b = 2/3 CP(headset) = 2x SP(headset) = 3x CP cover = 2x × 3/5 = 6x/5 SP cover = 6x/5 × 125/100 = 3x/2 8×3x + 12×3x/2 = 24x + 18x = 42x = 2100 x = 2100/42 = 50 CP of one headset = 2x = Rs.100
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